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The thermal equilibrium distribution over quantum-mechanical wave functions is a so-called Gaussian adjusted projected (GAP) measure, $GAP(\rho_\beta)$, for a thermal density operator $\rho_\beta$ at inverse temperature $\beta$. More…

Mathematical Physics · Physics 2022-07-06 Roderich Tumulka

We study the diffusive limit approximation for a nonlinear radiative heat transfer system that arises in the modeling of glass cooling, greenhouse effects and in astrophysics. The model is considered with the reflective radiative boundary…

Analysis of PDEs · Mathematics 2021-10-12 Mohamed Ghattassi , Xiaokai Huo , Nader Masmoudi

High-dimensional entangled states of light provide novel possibilities for quantum information, from fundamental tests of quantum mechanics to enhanced computation and communication protocols. In this context, the frequency degree of…

Quantum Physics · Physics 2020-04-10 S. Francesconi , F. Baboux , A. Raymond , N. Fabre , G. Boucher , A. Lemaître , P. Milman , M. I. Amanti , S. Ducci

The temperature dependence of the asymmetry between Stokes and anti-Stokes Raman scattering can be exploited for self-calibrating, optically-based thermometry. In the context of cavity optomechanics, we observe the cavity-enhanced…

Quantum Physics · Physics 2015-09-16 T. P. Purdy , P. -L. Yu , N. S. Kampel , R. W. Peterson , K. Cicak , R. W. Simmonds , C. A. Regal

The dispersive behavior of materials with atomic charge numbers varing from $Z = 4$ (beryllium, Be) to $Z = 82$ (lead, Pb) was investigated experimentally and theoretically at $\gamma$-ray energies up to 2 MeV. The experiment was performed…

Atomic Physics · Physics 2018-06-27 M. M. Günther , A. V. Volotka , M. Jentschel , S. Fritzsche , Th. Stöhlker , P. G. Thirolf , M. Zepf

In this work, we investigate the sampling and reconstruction of spectrally $s$-sparse bandlimited graph signals governed by heat diffusion processes. We propose a random space-time sampling regime, referred to as {randomized} dynamical…

Numerical Analysis · Mathematics 2024-10-24 Longxiu Huang , Dongyang Li , Sui Tang , Qing Yao

We propose a universal strategy to realize a broadband control on arbitrary scatterers, through multiple coherent beams. By engineering the phases and amplitudes of incident beams, one can suppress the dominant scattering partial waves,…

We investigate numerically a model consisting in a kinetic equation for the biased motion of bacteria following a run-and-tumble process, coupled with two reaction-diffusion equations for chemical signals. This model exhibits asymptotic…

Analysis of PDEs · Mathematics 2018-11-26 Vincent Calvez , Laurent Gosse , Monika Twarogowska

Providing efficient nonlinear optical frequency conversion is essential for numerous applications. Fundamentally, dispersion limits the efficiency of such processes through mismatch of the phase velocities and the group velocities of the…

Optics · Physics 2020-07-27 Georgiy Shoulga , Alon Bahabad

Previous numerical studies have shown that the "ultimate regime of thermal convection" can be attained in a Rayleigh-Benard cell when the kinetic and thermal boundary layers are eliminated by replacing the walls with periodic boundary…

Blending of semiconductors for controlling the energy levels (band structure engineering) is an important technique, in particular, for optoelectronic applications. The underlying physics is the delocalized Bloch states, which average over…

Planck's law of thermal radiation depends only on the temperature T and emissivity $\varepsilon$. It is one of the most fundamental discoveries about light-matter interaction that led to the development of quantum physics. Another basic…

Heat diffusion processes have found wide applications in modelling dynamical systems over graphs. In this paper, we consider the recovery of a $k$-bandlimited graph signal that is an initial signal of a heat diffusion process from its…

Information Theory · Computer Science 2021-10-05 Longxiu Huang , Deanna Needell , Sui Tang

We study a reduced hydrodynamic formulation of paraxial vector beam propagation in which the beam intensity, optical phase, and spatially-dependent polarization are coupled through a nonlinear dispersive system. While prior analytical work…

Optics · Physics 2026-05-26 Harbir Antil , Rainald Löhner , Sarswati Shah

A recipe on how to engineer a band gap in the energy spectrum for the carriers in graphene is conveyed. It is supported by a series of numerical simulations inspired by an analytical result based on the opening of a band gap in periodically…

Materials Science · Physics 2018-10-05 Stefan Kolev , Victor Atanasov , Hristiyan Aleksandrov , Teodor Milenov

The temperature dependence of the band gap is crucial to a semiconductor. Bulk black phosphorus (BP) is known to exhibit an anomalous behavior. Through optical spectroscopy, here we show that the temperature effect on BP band gap gradually…

In this paper, we propose two event-triggered control laws incorporating an eventtriggering mechanism to tackle the boundary stabilization for the Rayleigh beam system. Under this event-triggered controls, a sufficient condition for…

Optimization and Control · Mathematics 2026-05-19 Siwen Wang , Yi Cheng , Yuhu Wu , Yongxin Wu , Wen Kang

Photoluminescence (PL) is a fundamental light-matter interaction in which absorbed photons are re-emitted, playing a key role in science and engineering. It is commonly modeled by introducing a non-zero chemical potential into Planck's law…

Optics · Physics 2026-04-22 Tomer Bar Lev , Carmel Rotschild

The emission of thermal radiation is a physical process of fundamental and technological interest. From different approaches, thermal radiation can be regarded either as one of the basic mechanisms of heat transfer, as a fundamental quantum…

Optics · Physics 2024-01-19 J. Enrique Vázquez-Lozano , Iñigo Liberal

Optical Bloch Equations (OBE) describe the coherent exchange of energy between a quantum bit (qubit) and a quasi-resonant driving field in the presence of a thermal bath. Despite it being an ubiquitous process in quantum technologies, a…

Quantum Physics · Physics 2021-03-02 Cyril Elouard , David Herrera-Martí , Massimiliano Esposito , Alexia Auffèves